| bibtype |
A -
Abstract
|
| ARLID |
0543166 |
| utime |
20240103225916.6 |
| mtime |
20210614235959.9 |
| title
(primary) (eng) |
Minimization of Energy Functionals via the Finite Element Method in MATLAB |
| specification |
| page_count |
2 s. |
| media_type |
E |
|
| serial |
| ARLID |
cav_un_epca*0543165 |
| title
|
Large-Scale Scientific Computations LSSC’21. Scientific Program, Abstracts, List of Participants |
| page_num |
61-62 |
| publisher |
| place |
Sozopol |
| name |
Institute of Information and Communication Technologies, Bulgarian Academy of Sciences |
| year |
2021 |
|
|
| author
(primary) |
| ARLID |
cav_un_auth*0100790 |
| name1 |
Matonoha |
| name2 |
Ctirad |
| institution |
UIVT-O |
| full_dept (cz) |
Oddělení výpočetní matematiky |
| full_dept (eng) |
Department of Computational Mathematics |
| full_dept |
Department of Computational Mathematics |
| fullinstit |
Ústav informatiky AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0410335 |
| name1 |
Moskovka |
| name2 |
A. |
| country |
CZ |
| garant |
K |
|
| author
|
| ARLID |
cav_un_auth*0292941 |
| name1 |
Valdman |
| name2 |
Jan |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| abstract
(eng) |
Many problems in science and engineering have their mathematical formulation which leads to solving an operator equation Au = f , u ∈ M , f ∈ H , (1) where H is a Hilbert (or Banach) space, M is a subspace of H, u is a solution of (1) and A is an operator on M. In particular, we will focus on differential operators. There are a lot of methods for solving (1) and one of them is the so called variational approach which is based on finding the minimum of corresponding energy functional. In our text we represent the variational principle for solving some particular problems using a finite elements method (FEM) for discretization of energy functionals. Minimization procedures of energy functionals require the knowledge of a gradient. If an exact gradient form is not available or difficult to compute, a numerical approximation can be assembled locally. The key feature is the sparsity of Hessian matrix which significantly affects the time and memory demands of evaluations |
| action |
| ARLID |
cav_un_auth*0410336 |
| name |
LSSC 2021: International Conference on Large-Scale Scientific Computations /13./ |
| dates |
20210607 |
| mrcbC20-s |
20210611 |
| place |
Sozopol |
| country |
BG |
|
| reportyear |
2022 |
| mrcbC52 |
4 O 4o 20231122145756.9 |
| inst_support |
RVO:67985807 |
| permalink |
http://hdl.handle.net/11104/0320442 |
| cooperation |
| ARLID |
cav_un_auth*0295079 |
| name |
Západočeská univerzita v Plzni |
| institution |
ZČU |
| country |
CZ |
|
| confidential |
S |
| arlyear |
2021 |
| mrcbTft |
\nSoubory v repozitáři: 0543166-aw.pdf |
| mrcbU14 |
SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
WOS |
| mrcbU63 |
cav_un_epca*0543165 Large-Scale Scientific Computations LSSC’21. Scientific Program, Abstracts, List of Participants 61 62 Sozopol Institute of Information and Communication Technologies, Bulgarian Academy of Sciences 2021 |
|